{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'some numbers')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([1, 2, 3, 4],marker=\"o\")\n",
    "plt.ylabel('some numbers')\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2d395096e88>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([1, 2, 3, 4], [1, 4, 9, 16])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 6.0, 0.0, 20.0)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.plot([1, 2, 3, 4], [1, 4, 9, 16], 'ro')\n",
    "plt.plot([1, 2, 3, 4], [1, 4, 9, 16], color='r',marker='d')\n",
    "plt.axis((0, 6, 0, 20))\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2d395790b88>]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots()\n",
    "ax.plot([1, 2, 3, 4], [1, 4, 9, 16], color='r',marker='d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "t = np.arange(0., 5., 0.2)\n",
    "plt.plot(t, t, 'k--', t, t**2, 'rv', t, t**3, 'gd')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2d396b06d08>,\n",
       " <matplotlib.lines.Line2D at 0x2d396ae0c88>,\n",
       " <matplotlib.lines.Line2D at 0x2d396ae0b48>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots()\n",
    "t = np.arange(0., 5., 0.2)\n",
    "ax.plot(t, t, 'k--', t, t**2, 'rv', t, t**3, 'gd')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2d396a5b348>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter([0,1,2,3], [4,6,8,10], c='k', s=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'a': array([0, 1, 2, 3, 4]),\n",
       " 'c': array([36, 13, 37, 32, 26]),\n",
       " 'd': array([22.96113734, 89.84517977, 75.58804734,  7.41041802, 83.03145247]),\n",
       " 'b': array([-27.39462661,  21.18829438,  -9.52371011,   2.86720079,\n",
       "          8.76274957])}"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = {'a': np.arange(5),\n",
    "        'c': np.random.randint(0, 50, 5),\n",
    "        'd': np.random.randn(5)}\n",
    "data['b'] = data['a'] + 10 * np.random.randn(5)\n",
    "data['d'] = np.abs(data['d']) * 100\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter('a', 'b', c='c', s='d', data=data)\n",
    "plt.xlabel('entry a')\n",
    "plt.ylabel('entry b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "names = ['group_a', 'group_b', 'group_c']\n",
    "values = [1, 10, 100]\n",
    "\n",
    "plt.figure(figsize=(9, 3))\n",
    "\n",
    "plt.subplot(131)\n",
    "plt.bar(names, values)\n",
    "plt.subplot(132)\n",
    "plt.scatter(names, values)\n",
    "plt.subplot(133)\n",
    "plt.plot(names, values)\n",
    "plt.suptitle('Categorical Plotting')\n",
    "plt.show()\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2d396c37a08>]"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=[0,1,2,3,4]\n",
    "y=[0.5,0.8,1.2,-0.8,1.3]\n",
    "plt.plot(x, y, linewidth=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\anaconda\\lib\\site-packages\\ipykernel_launcher.py:1: UserWarning: linestyle is redundantly defined by the 'linestyle' keyword argument and the fmt string \"-\" (-> linestyle='-'). The keyword argument will take precedence.\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "line, = plt.plot(x, y, '-',linewidth=3,linestyle=\"-.\")\n",
    "line.set_antialiased(True) # turn off antialiasing\n",
    "line.set_alpha(0.5) # turn off anti`aliasing\n",
    "line.set_color(\"red\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  agg_filter: a filter function, which takes a (m, n, 3) float array and a dpi value, and returns a (m, n, 3) array and two offsets from the bottom left corner of the image\n",
      "  alpha: scalar or None\n",
      "  animated: bool\n",
      "  antialiased or aa: bool\n",
      "  clip_box: `.Bbox`\n",
      "  clip_on: bool\n",
      "  clip_path: Patch or (Path, Transform) or None\n",
      "  color or c: color\n",
      "  dash_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}\n",
      "  dash_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}\n",
      "  dashes: sequence of floats (on/off ink in points) or (None, None)\n",
      "  data: (2, N) array or two 1D arrays\n",
      "  drawstyle or ds: {'default', 'steps', 'steps-pre', 'steps-mid', 'steps-post'}, default: 'default'\n",
      "  figure: `.Figure`\n",
      "  fillstyle: {'full', 'left', 'right', 'bottom', 'top', 'none'}\n",
      "  gid: str\n",
      "  in_layout: bool\n",
      "  label: object\n",
      "  linestyle or ls: {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}\n",
      "  linewidth or lw: float\n",
      "  marker: marker style string, `~.path.Path` or `~.markers.MarkerStyle`\n",
      "  markeredgecolor or mec: color\n",
      "  markeredgewidth or mew: float\n",
      "  markerfacecolor or mfc: color\n",
      "  markerfacecoloralt or mfcalt: color\n",
      "  markersize or ms: float\n",
      "  markevery: None or int or (int, int) or slice or list[int] or float or (float, float) or list[bool]\n",
      "  path_effects: `.AbstractPathEffect`\n",
      "  picker: float or callable[[Artist, Event], tuple[bool, dict]]\n",
      "  pickradius: float\n",
      "  rasterized: bool\n",
      "  sketch_params: (scale: float, length: float, randomness: float)\n",
      "  snap: bool or None\n",
      "  solid_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}\n",
      "  solid_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}\n",
      "  transform: `.Transform`\n",
      "  url: str\n",
      "  visible: bool\n",
      "  xdata: 1D array\n",
      "  ydata: 1D array\n",
      "  zorder: float\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lines = plt.plot([1, 2, 3],alpha=0.5,aa=False,c=\"black\")\n",
    "plt.setp(lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2d396f22648>]"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(t):\n",
    "    return t*2\n",
    "\n",
    "t1 = np.arange(0.0, 5.0, 0.1)\n",
    "t2 = np.arange(0.0, 5.0, 0.02)\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(311)\n",
    "plt.plot(t1, f(t1), 'bo', t2, f(t2), 'k')\n",
    "\n",
    "plt.subplot(312)\n",
    "plt.plot(t2, np.cos(2*np.pi*t2), 'r--')\n",
    "plt.subplot(313)\n",
    "plt.plot(t2, t2**2, 'r-',aa=False)\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Figure1')"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(1)\n",
    "plt.subplot(211)\n",
    "plt.plot([1, 2, 3])\n",
    "plt.subplot(212)  \n",
    "plt.plot([4, 5, 6])\n",
    "\n",
    "plt.figure(2)\n",
    "plt.plot([4, 5, 6]) \n",
    "\n",
    "plt.figure(1)\n",
    "plt.subplot(211)\n",
    "plt.title('Figure1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "                # the first figure\n",
    "plt.subplot(211)             # the first subplot in the first figure\n",
    "plt.plot([1, 2, 3])\n",
    "plt.subplot(212)             # the second subplot in the first figure\n",
    "plt.plot([4, 5, 6])\n",
    "\n",
    "\n",
    "plt.figure(2)                # a second figure\n",
    "plt.plot([4, 5, 6])          # creates a subplot() by default\n",
    "\n",
    "plt.figure(1)                # first figure current;\n",
    "                             # subplot(212) still current\n",
    "plt.subplot(211)             # make subplot(211) in the first figure\n",
    "                             # current\n",
    "plt.title('Easy as 1, 2, 3') # subplot 211 title"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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